# continued fraction

a fraction whose denominator contains a fraction whose denominator contains a fraction, and so on.

## Origin of continued fraction

^{1}

## Words Nearby continued fraction

Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2023

## How to use continued fraction in a sentence

An efficient way to find its rational approximations is to use continued fractions, which alternate being slightly less and slightly more than the irrational value.

Can You Solve March Mathness? | Zach Wissner-Gross (riddlercolumn@gmail.com) | March 26, 2021 | FiveThirtyEightIf a or b is unity, a/b cannot be converted into a

*continued fraction*with unit numerators, and the above method fails.The

*continued fraction*is therefore incommensurable, and cannot be unity.A Budget of Paradoxes, Volume II (of II) | Augustus de MorganHe had not then the

*continued fraction*, a mode of representation which he gave the next year in his work on the square root.A Budget of Paradoxes, Volume I (of II) | Augustus De MorganThe simple

*continued fraction*is both the most interesting and important kind of*continued fraction*.

Similarly the

*continued fraction*given by Euler as equivalent to (e - 1) (e being the base of Napierian logarithms), viz.

## British Dictionary definitions for continued fraction

a number plus a fraction whose denominator contains a number and a fraction whose denominator contains a number and a fraction, and so on

Collins English Dictionary - Complete & Unabridged 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

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